{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "plt.rc('font', size=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 6))\n",
    "\n",
    "#Vector field\n",
    "X, Y = np.meshgrid(np.linspace(-5, 5, 20), np.linspace(-5, 5, 20))\n",
    "U = 1\n",
    "V = 1 + X * Y\n",
    "#Normalize arrows\n",
    "N = np.sqrt(U**2 + V**2)\n",
    "U /= N\n",
    "V /= N\n",
    "\n",
    "ax.quiver(X, Y, U, V, scale=30, pivot='mid')\n",
    "\n",
    "plt.xlim([-5, 5])\n",
    "plt.ylim([-5, 5])\n",
    "plt.xlabel(r\"$x$\")\n",
    "plt.ylabel(r\"$y$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://stackoverflow.com/questions/18832763/drawing-directions-fields"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
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